Existence of Nontrivial Solutions for Perturbed<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M1"><mml:mrow><mml:mi>p</mml:mi></mml:mrow></mml:math>-Laplacian Equation in<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M2"><mml:mrow><mml:msup><mml:mrow><mml:mi>ℝ</mml:mi></mml:mrow><mml:mrow><mml:mi>N</mml:mi></mml:mrow></mml:msup></mml:mrow></mml:math>with Critical Nonlinearity

Zhang, Huixing; Liu, Xiaoqian

doi:10.1155/2014/725781

Abstract and Applied Analysis

2014

DOI: 10.1155/2014/725781

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Existence of Nontrivial Solutions for Perturbedp-Laplacian Equation inℝNwith Critical Nonlinearity

Huixing Zhang

Xiaoqian Liu

Abstract: We consider a perturbedp-Laplacian equation with critical nonlinearity inℝN. By using variational method, we show that it has at least one positive solution under the proper conditions.

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Existence of Nontrivial Solutions for Perturbedp-Laplacian Equation inℝNwith Critical Nonlinearity

Abstract: We consider a perturbedp-Laplacian equation with critical nonlinearity inℝN. By using variational method, we show that it has at least one positive solution under the proper conditions.

Cited by 0 publications

References 23 publications

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